The graph shown in the diagram belongs to the family of absolute function value.
The parent function [tex]f(x)=|x|[/tex] has the graph (red graph in attached diagram).
Reflect this graph across the x-axis and translate 3 units up to get given graph (see blue graph in attached diagram). The function rule will be [tex]g(x)=-|x|+3.[/tex]
Answer: correct choice is D.
